Autor segons l'article: Zhou, Jiaying; Ye, Yong; Arenas, Alex; Gomez, Sergio; Zhao, Yi
Departament: Enginyeria Informàtica i Matemàtiques
Autor/s de la URV: Arenas Moreno, Alejandro / Gómez Jiménez, Sergio
Paraules clau: Time-fractional order Spatiotemporal pattern Delay Average degree
Resum: The spontaneous emergence of ordered structures, known as Turing patterns, in complex networks is a phenomenon that holds potential applications across diverse scientific fields, including biology, chemistry, and physics. Here, we present a novel delayed fractional-order susceptible–infected–recovered–susceptible (SIRS) reaction–diffusion model functioning on a network, which is typically used to simulate disease transmission but can also model rumor propagation in social contexts. Our theoretical analysis establishes the Turing instability resulting from delay, and we support our conclusions through numerical experiments. We identify the unique impacts of delay, average network degree, and diffusion rate on pattern formation. The primary outcomes of our study are: (i) Delays cause system instability, mainly evidenced by periodic temporal fluctuations; (ii) The average network degree produces periodic oscillatory states in uneven spatial distributions; (iii) The combined influence of diffusion rate and delay results in irregular oscillations in both time and space. However, we also find that fractional-order can suppress the formation of spatiotemporal patterns. These findings are crucial for comprehending the impact of network structure on the dynamics of fractional-order systems.
Àrees temàtiques: Statistical and nonlinear physics Química Physics, multidisciplinary Physics, mathematical Physics and astronomy (miscellaneous) Physics and astronomy (all) Physics Mathematics, interdisciplinary applications Mathematics, applied Mathematics (miscellaneous) Mathematics (all) Mathematical physics Materiais Matemática / probabilidade e estatística Interdisciplinar Geociências General physics and astronomy General mathematics Engenharias iv Engenharias iii Engenharias ii Engenharias i Economia Direito Ciências biológicas ii Ciências biológicas i Ciência da computação Astronomia / física Applied mathematics
Accès a la llicència d'ús: https://creativecommons.org/licenses/by/3.0/es/
Adreça de correu electrònic de l'autor: sergio.gomez@urv.cat alexandre.arenas@urv.cat
Identificador de l'autor: 0000-0003-1820-0062 0000-0003-0937-0334
Data d'alta del registre: 2024-09-28
Versió de l'article dipositat: info:eu-repo/semantics/publishedVersion
Enllaç font original: https://www.sciencedirect.com/science/article/pii/S0960077923007063
URL Document de llicència: https://repositori.urv.cat/ca/proteccio-de-dades/
Referència a l'article segons font original: Chaos Solitons & Fractals. 174 113805-
Referència de l'ítem segons les normes APA: Zhou, Jiaying; Ye, Yong; Arenas, Alex; Gomez, Sergio; Zhao, Yi (2023). Pattern formation and bifurcation analysis of delay induced fractional-order epidemic spreading on networks. Chaos Solitons & Fractals, 174(), 113805-. DOI: 10.1016/j.chaos.2023.113805
DOI de l'article: 10.1016/j.chaos.2023.113805
Entitat: Universitat Rovira i Virgili
Any de publicació de la revista: 2023
Tipus de publicació: Journal Publications